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Simplifying 50 = 10(w + 1) Reorder the terms: 50 = 10(1 + w) 50 = (1 * 10 + w * 10) 50 = (10 + 10w) Solving 50 = 10 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. 50 + -10w = 10 + 10w + -10w Combine like terms: 10w + -10w = 0 50 + -10w = 10 + 0 50 + -10w = 10 Add '-50' to each side of the equation. 50 + -50 + -10w = 10 + -50 Combine like terms: 50 + -50 = 0 0 + -10w = 10 + -50 -10w = 10 + -50 Combine like terms: 10 + -50 = -40 -10w = -40 Divide each side by '-10'. w = 4 Simplifying w = 4
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